56983150 has 96 divisors (see below), whose sum is σ = 131188032. Its totient is φ = 17971200.

The previous prime is 56983141. The next prime is 56983151. The reversal of 56983150 is 5138965.

56983150 = 208² + 209² + ... + 564².

56983150 is a nontrivial binomial coefficient, being equal to C(10676, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56983151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362872 + ... + 363028.

It is an arithmetic number, because the mean of its divisors is an integer number (1366542).

Almost surely, 2^56983150 is an apocalyptic number.

56983150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56983150 is the 10675-th triangular number and also the 5338-th hexagonal number.

56983150 is the 3559-th centered nonagonal number.

56983150 is an abundant number, since it is smaller than the sum of its proper divisors (74204882).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56983150 is a wasteful number, since it uses less digits than its factorization.

56983150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 56983150 is about 7548.7184342774. The cubic root of 56983150 is about 384.8121870253.

It can be divided in two parts, 56 and 983150, that multiplied together give a square (55056400 = 7420²).

The spelling of 56983150 in words is "fifty-six million, nine hundred eighty-three thousand, one hundred fifty".